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Simplifying 15(x + 20) = 2(3x + -5) Reorder the terms: 15(20 + x) = 2(3x + -5) (20 * 15 + x * 15) = 2(3x + -5) (300 + 15x) = 2(3x + -5) Reorder the terms: 300 + 15x = 2(-5 + 3x) 300 + 15x = (-5 * 2 + 3x * 2) 300 + 15x = (-10 + 6x) Solving 300 + 15x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 300 + 15x + -6x = -10 + 6x + -6x Combine like terms: 15x + -6x = 9x 300 + 9x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 300 + 9x = -10 + 0 300 + 9x = -10 Add '-300' to each side of the equation. 300 + -300 + 9x = -10 + -300 Combine like terms: 300 + -300 = 0 0 + 9x = -10 + -300 9x = -10 + -300 Combine like terms: -10 + -300 = -310 9x = -310 Divide each side by '9'. x = -34.44444444 Simplifying x = -34.44444444
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